Question

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Answer 1

$\displaystyle\bf\\1)\\\\\sqrt{8\cdot 50} =\sqrt{4\cdot 2\cdot 2\cdot 25} =\sqrt{2^{2} \cdot 2^{2} \cdot 5^{2} }=2\cdot 2\cdot 5=20\\\\\\2)\\\\ \sqrt{32\cdot 50} =\sqrt{16\cdot 2\cdot 2\cdot 25} =\\\\=\sqrt{4^{2} \cdot 2^{2} \cdot 5^{2} }=4\cdot 2\cdot 5=40\\\\\\3)\\\\\sqrt{108\cdot 27} =\sqrt{36\cdot 3\cdot 9\cdot 3} =\\\\=\sqrt{6^{2} \cdot 3^{2} \cdot 3^{2} }=6\cdot 3\cdot 3=54\\\\\\4)\\\\\sqrt{27\cdot 12} =\sqrt{9\cdot 3\cdot 4\cdot 3} =\sqrt{3^{2} \cdot 3^{2} \cdot 2^{2} }=\\\\=3\cdot 3\cdot 2=18$